Hilbert's basis theorem
Teorema de la base de Hilbert
- Date
- 1890 · confidence high
- Place
- Königsberg, Prussia (now Kaliningrad, Russia)
- Credited to
- David Hilbert
- Field
- Knowledge & symbols
What was discovered
Algebra theorem showing that every ideal of a polynomial ring over a field has a finite generating set, the foundation of Noetherian rings.
What it led to
- Theory of Noetherian rings
- Foundations of commutative algebra and modern algebraic geometry
- Hilbert's Nullstellensatz